Max-plus-linear model-based predictive control for constrained HVLV manufacturing systems

Imed Nasri (1) , Georges Habchi (1) , Reda Boukezzoula (2)

1 SYMME - Laboratoire SYstèmes et Matériaux pour la MEcatronique
2 LISTIC - Laboratoire d'Informatique, Systèmes, Traitement de l'Information et de la Connaissance

In this paper, a max-plus-linear model predictive con- trol strategy is proposed for High-Variety, Low-Volume (HVLV) systems. Firstly, using the (max,+) algebra, a di- rect generation of event-timing equations for determinis- tic and decision-free HVLV manufacturing systems is ob- tained. Then, a linear optimization method is presented. It is based on canonical forms for Max-Min-Plus-Scaling (MMPS) functions with linear constraints on the inputs. The approach aims at solving several linear programming problems and its validity is illustrated by a simulation ex- ample. Finally, a discussion of results, conclusions and perspectives are given.

Domaines: Automatique / Robotique

Imed Nasri, Georges Habchi, Reda Boukezzoula. Max-plus-linear model-based predictive control for constrained HVLV manufacturing systems. ETFA'2011, Sep 2011, Toulouse, France. pp.1-4. ⟨hal-00627566⟩